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The angles which one straight line makes with another upon one side of i't, are either two right angles, or are together eqval to two right angles.
Elements of Geometry: Containing the First Six Books of Euclid, with a ... - Σελίδα 17
των Euclid, John Playfair - 1853 - 317 σελίδες
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The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1845 - 352 σελίδες
...— The angles which one straight line makes with another upon the one side of it are together equal to two right angles. Let the straight line AB make...upon one side of it, the angles CBA, ABD ; these are together equal to two right angles. For, if the ancle CBA be equal to ABD, each of them (I. def. 8)...

Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845
...straight line makes wilh another upon one side of it, are either two right angles, or are together equal to two right angles. Let the straight line AB make...with CD, upon one side of it, the angles CBA, ABD. Then these shall be either two right angles, or shall be together, equal to two right angles. E A i...

A system of practical mathematics; being no.xvi. of a new series of school-books

...THKOREM. The angles ACD and DCB, which one straight line, DC, makes with another, AB, on one side of it, are either two right angles, or are together equal to two right angles. A If the Ls ACD and DCB be equal, each of them is a i'L, (Def. 9.) ; but if they are not equal, conceive...

Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - 1845 - 199 σελίδες
...PROPOSITION XIII. THEOR. — The angles which one straight line makes with another upon one side of it, are either two right angles, or are together equal to two right angles. EUCLID'S ELEMENTS. For if the angle CBA be equal to ABD, each of them { 10 DeV. 2 Ax. 2 AX. D CD is...

The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846
...QEF PROP. XIII. THEOR. The angles, which one straight line makes with another upon one side of it, are either two right angles, or are together equal to two right angles. Let the straight line AB make with CD, upon one side of it, the angles CBA, ABD : these are either...

The Elements of Geometry, Symbolically Arranged

...DBA, ABC; then /_ DBA + Z. The angles which one straight line makes with another upon one side of it, are either two right angles, or are together equal to two right angles. Let AB make with DC, on the same side ABC=2rt. Zs DBCDBC If L ABC = L DBA, Der. 10. each of them is...

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1846 - 317 σελίδες
...AB. 19 PROP. XIII. THEOR. The angles which one straight line makes with another upon one side of it, are either two right angles, or are together equal to two right angles. Let the straight line AB make with CD, upon one side of it the angles CBA, ABD ; these are either two...

The first book of Euclid's Elements, simplified, explained and illustrated ...

Euclides - 1847
...XIII. THEOR. GEN. ENUN. — The angles, which one straight line makes with another upon one side of it, are either two right angles, or are together equal to two right angles. PART. ENUN. — Let the st. line AB make with CD, upon one side of it, Fig. 1. the Zs CBA, ABD; then...

Report of the Committee of Council on Education (England and Wales ..., Τεύχος 2

...equilateral triangle. Prove that the angles, which one straight line makes with another upon one side of it are either two right angles, or are together equal to two right angles. 2. The angles at the base of an isosceles triangle are equal to each other. 3. Define parallel straight...

The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848
...it. PROP. XIII. THEOREM. The angles which one straight line makes with another upon one side of it, are either two right angles, or are together equal to two right angles. PROP. XIV. THEOREM. If, at a point in a straight line, two other straight lines, upon the opposite...